1) A company producing stereos can produce a stereo for ​$115 on top of the​ company's annual fixed cost of ​$512000. If

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1)
A company producing stereos can produce a stereo for ​$115 on top
of the​ company's annual fixed cost of ​$512000. If the price​
(demand) function for the stereos is given by ​p(q)=-0.95q+45000,
how stereos must the company produce and sell to earn a profit of
​$​2,625,295?

2) A company produces a special new type of TV. The company
has fixed costs of ​$490,000​, and it costs ​$1200 to produce each
TV. The company projects that if it charges a price of ​$2200 for
the​ TV, it will be able to sell 750 TVs. If the company wants to
sell 800 ​TVs, however, it must
lower the price to ​$1900. Assume a linear demand. What price
should the company charge to earn a profit of ​$​720,000?

3) A company produces a special new type of TV. The company
has fixed costs of ​$466,000​, and it costs ​$ 1300to produce each
TV. The company projects that if it charges a price of ​$2400 for
the​ TV, it will be able to sell 850 TVs. If the company wants to
sell 900 ​TVs, however, it must lower the price to ​$2100. Assume a
linear demand.
How many TVs must the company sell to earn ​$2,340,000 in​
revenue?